This soundtrack is created by Daniel Rosenfeld (a.k.a. C418) and Lena Raine. All credit goes these two for expanding upon one of the most iconic music tracks in video game history. I do not own any music seen in the video. No copyright infringement intended.
Here are the time frames:
Concrete Halls - 0:00
Warmth - 4:13
Ballad of the Cats - 8:12
Dead Voxel - 12:48
So Below - 17:44
Chrysopoeia - 23:03
Rubedo - 28:06
Pigstep - 33:19